Bus

Bus represents an \(N\)-phase bus in instantaneous phase coordinates. It owns the bus voltage and contributes the current-balance residual to the assembled DAE. \(\mathcal{D}\) denotes the set of connected devices. Bus voltage and its residual are algebraic when no connected model contributes a voltage derivative; see assembly.

Block Diagram

Figure 1: Bus model

Model Parameters

Symbol	Units	JSON	Description	Note
\(N\)	[-]	N	Number of phases	Required, positive integer

Parameter Validation

\[N \in \mathbb{Z}_{>0}\]

Model Derived Parameters

None.

Model Ports

Symbol	Port	Type	Units	Description	Note
\(\mathbf{i}_d\)	i	Input	[A]	Current from connected device \(d\)	One port per \(d \in \mathcal{D}\), \(\mathbf{i}_d \in \mathbb{R}^N\)
\(\mathbf{v}\)	v	Output	[V]	Bus voltage supplied to connected devices	\(\mathbf{v} \in \mathbb{R}^N\)

Submodels

None.

Submodel Validation

None.

Submodel Wiring

None.

Model Variables

Internal Variables

Differential

Symbol	Units	Description	Note
\(\mathbf{v}\)	[V]	Bus voltage vector	\(\mathbf{v} \in \mathbb{R}^N\)

Algebraic

None.

External Variables

Differential

None.

Algebraic

None.

Model Equations

Internal Equations

Differential

\[0 = \sum_{d \in \mathcal{D}} \mathbf{i}_d\]

Algebraic

None.

External Equations

None.

Initialization

None.

Monitors

Monitor	Units	Description	Note
v	[V]	Bus voltage	\(\mathbf{v} \in \mathbb{R}^N\)